# How do you simplify 5sqrt30-sqrt3?

May 18, 2015

We can factor this subtraction using the common element in both numbers, as follows:

$5 \sqrt{3 \cdot 10} - \sqrt{3}$
$5 \sqrt{3} \sqrt{10} - \sqrt{3}$

Note that both elements contain $\sqrt{3}$

Then,

$\sqrt{3} \left(5 \sqrt{10} - 1\right)$